Question: Verify Eq. {9} in Section 5.6 {under Example 6} of the textbook, then use this relation to solve the generalized Fibonacci sequence F; = 2FR+1

Verify Eq. {9} in Section 5.6 {under Example 6} of the textbook, then use this relation to solve the generalized Fibonacci sequence F\"; = 2FR+1 FR under initial conditions F\" = and F1 = 1. J is block-diagonal, and the powers of each block can be taken separately: k 2k kak-1 5k(k- 1)24-27 (J:)k = : = 0 K2k-1 (9) 0 0 1 0

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